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The relationship between oil temperature and flow rate is generally a CONSTANT, ie as the oil temperature increases, the viscosity of the fluid decreases. This would lead to the assumption that flow rates would also increase, but that is not the case.

For any given "fixed size pump" in thermodynamic fluids, viscosity of the fluid is irrelevant, be it air or honey or really thick oil! This can be proved with dimensional analysis.

What is affected is friction and pumping power to fully utilise the size of pump.

In the situation where only a limited pumping power is available, that is the only thing that will directly affect flow rate..

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